Question 2 of 25 What is an equation of the line that is parallel to y = 3x - 8 and passes through the point (4, -5)? A. y= 3x - 17 B. y= 3x - 7 C. y = 3x + 17 D. y= 3x + 7

  A. y = 3x - 17

Step-by-step explanation:

The offered choices differ in their y-intercepts. If you think a little bit about what the graph of a line with slope 3 through the point (4, -5) must look like, you realize the y-intercept will be quite a bit more negative than -5. The appropriate choice is ...

  y = 3x - 17

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You can figure the y-intercept (b) from ...

  y = mx +b

  b = y -mx . . . . .subtract mx from both sides.

You have (x, y) = (4, -5) and m = 3, so ...

  b = -5 -3(4) = -5 -12 = -17

The equation is ...

  y = 3x -17

i need the options

step-by-step explanation:

the answer is b.)

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